L04_viet_Computing_Electric Field_Fields

# L04_viet_Computing_Electric Field_Fields - Physics 122...

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Physics 122 Electricity and Magnetism Lecture 4 Computing Electric Fields

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05/07/09 Physics 122 - Lecture 4 2 weak strong Review of Field Lines Q 2Q -Q More charge more field lines. Field lines stop on negative charges. Field lines start on positive charges. Field lines never cross. Field line spacing indicates field strength + + + Closed loops? Energy flow.
05/07/09 Physics 122 - Lecture 4 3 Recall : Computing Charged Object E-Fields Using Coulomb’s Law 1. Choose a coordinate system that will facilitate integration. 2. Use any applicable symmetries to set E-field components to zero or equal to each other. 3. Break up the object into point-like elements. 4. Write the Coulomb’s Law contribution to the E-field from a representative point-like element. 5. Integrate over the entire object to get the E-field.

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05/07/09 Physics 122 - Lecture 4 4 Recall: The E-Field of a Charged Ring A thin uniformly charged ring of radius R has a total charge Q . Find the electric field on the axis of the ring . . the z-axis …(perpendicular to the page). The linear charge density of the ring is λ = Q / (2 π R ). The system has cylindrical symmetry for rotations about the axis, so along the z-axis E x =E y =0 and we need only to find E z . Consider a small segment of the circumference of the ring of width dl = R d φ .
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L04_viet_Computing_Electric Field_Fields - Physics 122...

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